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Aitken-Steffensen-type methods for nondifferentiable functions (I)

8 years ago

Abstract We study the convergence of the Aitken-Steffensen method for solving a scalar equation $f(x)=0$. Under reasonable conditions (without assuming…

On a Halley-Steffensen method for approximating the solutions of scalar equations

8 years ago

Abstract We show that the Steffensen method for solving the scalar equation $f(x)=0$, applied to equation $$h(x)=\frac{f(x)}{\sqrt{f'(x)}}=0,$$ leads to bilateral…

Optimal efficiency index of a class of Hermite iterative methods with two steps

8 years ago

Abstract The inverse interpolatory polynomials of Hermite type with 2 nodes, allhaving the same order of multiplicity $q\in N$, provide…

On the Heron’s method for approximating the cubic root of a real number

8 years ago

Abstract (soon) AuthorsDan Luca Tiberiu Popoviciu Institute of Numerical Analysis Ion Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis KeywordsPDFScanned paper:…

Observations concerning some approximation methods for the solutions of operator equations

8 years ago

Abstract (soon) AuthorsIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) KeywordsPDFScanned paper. PDF-LaTeX version of the paper. Cite this paper…

Bilateral approximations for the solutions of scalar equations

8 years ago

Abstract (soon) AuthorsIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) KeywordsPDFScanned paper: on the journal website. PDF-LaTeX version of the…

A convergency theorem concerning the chord method

8 years ago

Abstract (soon) AuthorsIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) Keywords(soon) PDFScanned paper: on the journal website. PDF-LaTeX version of…

Error estimation in numerical solution of equations and systems of equations

8 years ago

Abstract In [7], [8], M. Urabe studies the numerical convergence and error estimation in the case of operatorial equation solution…

Optimal problems concerning interpolation methods of solution of equations

8 years ago

Abstract We consider optimality problems regarding the order of convergence of the iterative methods which are obtained by inverse interpolation…

On the Steffensen method for solving nonlinear operator equations

8 years ago

Abstract We consider the equation \[F\left( x\right) =x-A\left( x\right)=0,\] where $A$ is an operator from a Banach space $X$ to…

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